Solving Division Equations with Two or More Variables

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  • 0:01 A Division Problem
  • 0:52 Solving the Equations
  • 1:43 Example
  • 2:39 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to solve division problems with more than one variable. Learn how many equations are needed to solve your problem depending on the number of variables you have.

A Division Problem

In this video lesson, you will learn how to solve division problems with two or more variables. These are math problems that include the division operator and that have more than one unknown value. Why should you learn about these types of problems? Knowing how to solve these types of problems is a useful skill because you will see these problems not only in your math classes but also in real life. As you take your math tests and such, you might come across a problem such as this:

  • x / y = 2
  • y / 2 = 4

Do you notice something interesting about the equations? Yes, there are two equations. Why do you think there are two equations? There are two equations because there are two variables. Remember this: you need one equation per variable. So, if your problem involves three variables, then you need three equations.

Solving the Equations

There are various methods to solving problems that involve more than one equation. You can find these methods discussed in other lessons. Looking at your two equations, you see that you can solve the second equation for y, and then use the substitution method to solve the problem.

Solving the second equation for y gives you this:

  • y / 2 = 4
    • (y / 2) * 2 = 4 * 2
      • y = 8

Now, Plugging this information into the first equation, you can solve for x:

  • x / y = 2
    • x / 8 = 2
      • (x / 8) * 8 = 2 * 8
        • x = 16

And you are done. You have solved for both variables. Your complete answer is x = 16 and y = 8.

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